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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Intangible assets by category (Details) - USD ($) $ in Millions	Jun. 30, 2023	Dec. 31, 2022
Intangible Assets
Intangible assets, net	$ 1,614.4	$ 1,662.8
Customer relationships | Weighted Average
Intangible Assets
Amortization period (in years)	16 years	16 years
Market data customer relationships | Weighted Average
Intangible Assets
Amortization period (in years)	9 years	9 years
Technology | Weighted Average
Intangible Assets
Amortization period (in years)	7 years	8 years
Trademarks and tradenames | Weighted Average
Intangible Assets
Amortization period (in years)	7 years	7 years
Options
Intangible Assets
Accumulated amortization	$ (96.7)	$ (90.6)
Intangible assets, net	140.0	146.1
Options | Customer relationships
Intangible Assets
Finite-lived intangible assets, gross	46.6	46.6
Options | Market data customer relationships
Intangible Assets
Finite-lived intangible assets, gross	53.6	53.6
Options | Technology
Intangible Assets
Finite-lived intangible assets, gross	28.1	28.1
Options | Trademarks and tradenames
Intangible Assets
Finite-lived intangible assets, gross	12.9	12.9
Options | Trading registrations and licenses
Intangible Assets
Indefinite-lived intangible assets, gross	95.5	95.5
North American Equities
Intangible Assets
Accumulated amortization	(442.5)	(411.9)
Intangible assets, net	964.7	992.8
North American Equities | Customer relationships
Intangible Assets
Finite-lived intangible assets, gross	414.0	412.8
North American Equities | Market data customer relationships
Intangible Assets
Finite-lived intangible assets, gross	322.0	322.0
North American Equities | Technology
Intangible Assets
Finite-lived intangible assets, gross	57.0	56.4
North American Equities | Trademarks and tradenames
Intangible Assets
Finite-lived intangible assets, gross	8.2	8.2
North American Equities | Trading registrations and licenses
Intangible Assets
Indefinite-lived intangible assets, gross	606.0	605.3
Europe and Asia Pacific
Intangible Assets
Accumulated amortization	(160.1)	(142.0)
Intangible assets, net	358.5	359.9
Europe and Asia Pacific | Customer relationships
Intangible Assets
Finite-lived intangible assets, gross	213.5	208.9
Europe and Asia Pacific | Market data customer relationships
Intangible Assets
Finite-lived intangible assets, gross	61.1	58.4
Europe and Asia Pacific | Technology
Intangible Assets
Finite-lived intangible assets, gross	33.9	32.8
Europe and Asia Pacific | Trademarks and tradenames
Intangible Assets
Finite-lived intangible assets, gross	2.4	2.3
Europe and Asia Pacific | Trading registrations and licenses
Intangible Assets
Indefinite-lived intangible assets, gross	207.7	199.5
Global FX
Intangible Assets
Accumulated amortization	(163.8)	(155.3)
Intangible assets, net	64.3	72.8
Global FX | Customer relationships
Intangible Assets
Finite-lived intangible assets, gross	140.0	140.0
Global FX | Market data customer relationships
Intangible Assets
Finite-lived intangible assets, gross	64.4	64.4
Global FX | Technology
Intangible Assets
Finite-lived intangible assets, gross	22.5	22.5
Global FX | Trademarks and tradenames
Intangible Assets
Finite-lived intangible assets, gross	1.2	1.2
Digital
Intangible Assets
Accumulated amortization	(8.2)	(4.7)
Intangible assets, net	86.9	91.2
Digital | Technology
Intangible Assets
Finite-lived intangible assets, gross	70.0	70.0
Digital | Trading registrations and licenses
Intangible Assets
Indefinite-lived intangible assets, gross	25.0	25.0
Digital | Digital assets held
Intangible Assets
Indefinite-lived intangible assets, gross	$ 0.1	$ 0.9

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